The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 X 0 X X 0 X X X X 0 0 0 0 X X 0 0 X X 0 0 X 0 0 0 X 0 X X X X X X 0 0 0 0 0 X X 0 0 X X 0 0 0 0 X 0 X X X X 0 0 0 X X X 0 0 0 X X 0 0 X X X X 0 0 0 0 X X 0 0 X 0 X X X 0 X X 0 X X 0 0 0 0 X X 0 generates a code of length 26 over Z2[X]/(X^2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+15x^24+32x^26+15x^28+1x^52 The gray image is a linear code over GF(2) with n=52, k=6 and d=24. This code was found by Heurico 1.16 in 0.00292 seconds.